Question

Мяч упал с высоты 3 м и подскочил на расстояние 1 м от пола. Траектория движения прямолинейная. Найдите путь и перемещение, Полное решение​

Answer 1

Ответ:

Путь-сумма всех путей

Путь равен 3м ( он падал вниз)+1м (на этой высоте мяч был пойман)=4м

Перемещение-кратчайшее расстояние между начальной и конечной точкой

движение 3м-1м=2м

Answer 2

Problem Analysis

We are given that a ball falls from a height of 3 meters and bounces back up to a distance of 1 meter from the ground. The trajectory of the ball is straight. We need to find the path and displacement of the ball.

Solution

To solve this problem, we can break it down into two parts: the path and the displacement.

# Path

The path is the total distance covered by the ball, including both the downward and upward motion. In this case, the ball falls from a height of 3 meters and then bounces back up to a distance of 1 meter from the ground.

The path can be calculated by adding the distance traveled during the downward motion (falling) and the distance traveled during the upward motion (bouncing back).

The distance traveled during the downward motion can be calculated using the formula for free fall:

distance_down = 0.5 * g * t^2

where: - g is the acceleration due to gravity (approximately 9.8 m/s^2) - t is the time taken for the ball to fall from the initial height to the ground

The distance traveled during the upward motion is given as 1 meter.

# Displacement

The displacement is the change in position of the ball from the initial position to the final position. In this case, the initial position is the starting height of 3 meters and the final position is the distance of 1 meter from the ground.

The displacement can be calculated by subtracting the initial position from the final position:

displacement = final_position - initial_position

Substituting the values, we get:

displacement = 1 - 3 = -2 meters

Since the displacement is negative, it indicates that the ball has moved downward from its initial position.

Summary

In summary, the path covered by the ball is the total distance traveled during the downward and upward motion. The displacement of the ball is the change in position from the initial height to the final position. In this case, the ball covers a path of 4 meters (3 meters downward + 1 meter upward) and has a displacement of -2 meters (moved downward from the initial position).

Please let me know if I can help you with anything else.